The measurement of angles are given as 20.92°, 40.83°, 57.76°, 71.17°, 26.21° and 44.7°respectively.
What are trigonometric ratios?The trigonometric ratios are defined for a right angled triangle.
The example of these ratios are sin, cos, tan, cosec, sec and cot.
The trigonometric ratios are useful in determining the heights and distances of the large objects.
The given problem can be solved by applying the trigonometric ratios to all of the triangle as follows,
(11) In the given triangle,
Sinθ = 5/14
=> θ = Sin⁻¹(5/14) = 20.92°
(12) In the given triangle,
Tanθ = 7/8.1
=> θ = Tan⁻¹(7/8.1) = 40.83°
(13) In the given triangle,
Cosθ = 8/15
=> θ = Cos⁻¹(8/15) = 57.76°
(14) In the given triangle,
Tanθ = 8.8/3
=> θ = Tan⁻¹(8.8/3) = 71.17°
(15) In the given triangle,
Tanθ = 6.4/13
=> θ = Tan⁻¹( 6.4/13) = 26.21°
(16) In the given triangle,
Tanθ =9.4/9.5
=> θ = Tan⁻¹( 9.4/9.5) = 44.7°
Hence, the measures of the angles indicated in the triangles are obtained as 20.92°, 40.83°, 57.76°, 71.17°, 26.21° and 44.7°respectively.
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Which expression is equivalent to (3x−4y5)−2?
−9x8y10
x raised to the eighth power over quantity 9 times y raised to the tenth power end quantity
negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power
1 over quantity 9 times x raised to the eighth power times y raised to the tenth power end quantity
The expression which is equivalent to -9x^8 / y^10 is "negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power". option B
Exponential-9x^8 / y^10
Check all that applies:
x raised to the eighth power over quantity 9 times y raised to the tenth power end quantityx^8 / (9×y)^10
= x^8 / 9y^10
No
negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power-(9×x)^8/y^10
= -9x^8 / y^10
Yes
1 over quantity 9 times x raised to the eighth power times y raised to the tenth power end quantity1/(9×x)^8 × y^10
= 1 / (9x^8) × (y^10)
No
Therefore, the expression which is equivalent to -9x^8 / y^10 is "negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power".
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Find angles in isosceles triangles...
Answer:
x=46°
Step-by-step explanation:
base angles in an isosceles triangle are equal
180-88 = 92°
92/2=46°
46 + 46 +88 = 180
Answer:
A triangle always will equal 180° degrees. Each other angle equals 46°.
Step-by-step explanation:
180° - 88° = 92°
92 ÷ 2 = 46°
Hope this helps :)
Answer the following questions. I am not looking for mathematical answers; I want you to reason through the questions and use your intuition to answer them. (a) (10 points) What are the differences between the Baumol-Tobin and Money in the Utility Function models of money demand? (b) (10 points) Why did Milton Friedman argue for a 0\% nominal interest rate? (c) (10 points) True/False/Uncertain (and explain why): Wage growth resulting from an increase in expected inflation is a sign, not the cause, of inflation. (d) (10 points) True/False/Uncertain (and explain why): If the central bank buys $10 million worth of securities, then the money supply will increase by exactly $10 million. (e) (10 points) True/False/Uncertain (and explain why): The Taylor Rule is used as a "rule of thumb" rather than an explicit rule in central banking.
a) Baumol-Tobin model of money demand is based on the transaction costs. b)Milton Friedman argued for a 0% nominal interest rate as he believed that the nominal interest. c)True. Wage growth resulting from an increase in expected inflation is a sign. d)Uncertain. The money supply may not increase by exactly $10 million if the central bank buys $10 million worth of securities. e) False. The Taylor Rule is an explicit rule in central banking that provides guidance on setting the policy
a) Baumol-Tobin model of money demand is based on the transaction costs of converting non-monetary assets into money and vice versa.
Whereas, the Money in the Utility Function model of money demand is based on the utility of holding money as a store of value and the opportunity cost of holding non-monetary assets.
b) Milton Friedman argued for a 0% nominal interest rate as he believed that the nominal interest rate should reflect the real rate of return and expected inflation, and a 0% nominal interest rate would help stabilize the economy by reducing fluctuations in the nominal interest rate.
c) True. Wage growth resulting from an increase in expected inflation is a sign, not the cause, of inflation. An increase in expected inflation can lead to an increase in nominal wages, but this increase in nominal wages does not cause inflation. Instead, inflation is caused by an increase in the money supply.
d) Uncertain. The money supply may not increase by exactly $10 million if the central bank buys $10 million worth of securities. This is because the central bank may purchase securities from a bank that already has excess reserves, which would not increase the money supply.
e) False. The Taylor Rule is an explicit rule in central banking that provides guidance on setting the policy interest rate based on the output gap and inflation deviation from target.
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2. A social media company claims that over 1 million people log onto their app daily. To test this claim, you record the number of people who log onto the app for 65 days. The mean number of people to log in and use the social media app was discovered to be 998,946 users a day, with a standard deviation of 23,876. 23. Test the hypothesis using a 1% level of significance.
The hypothesis test suggests that there is not enough evidence to reject the claim made by the social media company that over 1 million people log onto their app daily, as the t-value (-1.732) is less than the critical value (-2.429).
Null hypothesis, The true mean number of people who log onto the app daily is equal to or less than 1 million.
Alternative hypothesis, The true mean number of people who log onto the app daily is greater than 1 million.
Level of significance = 1%
We can use a one-sample t-test to test the hypothesis.
t = (X - μ) / (s / √n)
where X is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.
Substituting the values, we get
t = (998,946 - 1,000,000) / (23,876 / √65)
t = -1.732
Using a t-distribution table with 64 degrees of freedom and a one-tailed test at a 1% level of significance, the critical value is 2.429.
Since the calculated t-value (-1.732) is less than the critical value (-2.429), we fail to reject the null hypothesis. There is not enough evidence to support the claim that more than 1 million people log onto the app daily.
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write a paragraph about importance of english language using simple present tense.
Answer:
Step-by-step explanation:
The English language is an art that I am using to convey this message to you. Without this form of communication, we would be unable to talk or write without using another language. We think everyday with this awesome language, and don't think much about the language we think in. English is an amazing language, and I am proud to be able to verbalize it to you today.
hich math expression means "the product of 16 and 26"?
O 16 - 26
26-16
16 - 26
0 16 +26
Answer:
infjfkflflfmdbfufifldndndhfififkfnf
using the information given, select the statement that can deduce the line segments to be parallel. if there are none, then select none. when m7
To deduce if two line segments are parallel, we need to examine their corresponding angles. Therefore, "none." is correct.
According to the information given, we have a missing value represented by m7. To find if any line segments are parallel, we can use the following rules:
1. If two lines are intersected by a transversal, and corresponding angles are congruent, then the lines are parallel.
2. If two lines are intersected by a transversal, and alternate interior angles are congruent, then the lines are parallel.
3. If two lines are intersected by a transversal, and alternate exterior angles are congruent, then the lines are parallel.
Let's consider each statement one by one:
Statement 1: m7 = 90 degrees. This statement represents a right angle. However, knowing that one angle is right does not provide enough information to deduce the lines' parallelism.
Statement 2: m7 = 135 degrees. This statement represents an angle greater than 90 degrees. Similarly, having this information alone is insufficient to deduce the lines' parallelism.
Statement 3: m7 = 45 degrees. This statement represents an angle less than 90 degrees. Again, having this information alone is not enough to deduce the lines' parallelism.
Given the information provided, we cannot deduce the parallelism of any line segments. Therefore, "none." is correct.
In summary, without additional information about the relationships between angles formed by the line segments, we cannot determine whether the line segments are parallel or not.
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Tamara wants to know how likely her bus is to be late.
She records the data over a month and finds it was late on
7 out of 25 times that she went to catch it.
Estimate the probability of the bus being late on any given day.
If she goes for the bus 20 times in the next month,
how often would she expect the bus to be late?
Step-by-step explanation:
if7=25
therefore??=20
Cross multiply
7 multiply 20 and then divide by 25
=28/5
5.6
round off it will be 6
hope it helps
A package of 8 pens costs $1.09. Milo's work to find the unit price of the pack is shown below. StartFraction 8 pens Over 1 dollar and 9 cents EndFraction = StartFraction question mark Over 1 dollar EndFraction. Question mark = StartFraction 8 Over 1 dollar and 9 cents EndFraction. Question mark = 7 dollars and 34 cents.
Question:
A package of 8 pens costs $1.09. Milo’s work to find the unit price of the pack is shown below.
8p/$1.09 =
8÷$1.09 =
$7.34
Where did Milo make his first error?
Answer:
He wrote the unit rate incorrectly.
Step-by-step explanation:
Given
\(Pens = 8\)
\(Cost = \$1.09\)
Required
Determine Milo's error
First, we need to solve for the unit price; then compare our results with Milo's
\(Unit\ Price = \frac{Cost}{Pens}\)
\(Unit\ Price = \frac{\$1.09}{8}\)
\(Unit\ Price = \$0.13625\)
Comparing the calculation with Milo's:
We can see that he made wrong calculations i.e. in other words, he solved the required incorrectly
A group of statements that executes as a single unit is a(n) ____.
a. module
b. unit
c. bunch
d. block
The term that describes a group of statements that executes as a single unit is a "block". A block of code is a program that is grouped together and treated as a single unit. So, the correct option is D.
In computer programming, a block is a group of statements or declarations that are enclosed within a set of curly braces ({ }). The block serves as a single unit that is executed together. Blocks are used to organize code and to apply control structures, such as loops and conditional statements, to multiple statements.
A block can contain any number of statements, which can include variable declarations, function calls, loops, conditional statements, and other constructs. The statements within a block are executed in sequence, one after another, unless a control statement is encountered that alters the normal sequence of execution.
For example, a while loop in Java consists of a block of code that is executed repeatedly while a certain condition is true:
while (condition) {
// block of code to be executed while condition is true
}
In this example, the block of code inside the curly braces will be executed repeatedly while the condition specified in the while statement is true. The block can contain any number of statements, and these statements will be executed each time the loop iterates.
Another common use of blocks is to define functions or methods. A function or method is a block of code that can be called from other parts of the program, and can take inputs (arguments) and return outputs. For example, in Python, a function can be defined as follows:
def function(argument1, argument2):
# block of code to be executed in the function
return result
In this example, the block of code enclosed within the function definition is executed when the function is called. The function can take inputs (argument1 and argument2), which can be used within the function, and it can return a result using the return statement.
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I will give brainliest plzzz I need help
Write a for loop that uses a variable named i as well as the range and print function to efficiently display only the odd integers from 3 to 9 (including the numbers 3 and 9.) It is recommended that you use the range function with 3 parameters in its parentheses.
Answer:
Python :
for i in range (3, 10, 2):
print(i)
Select the correct answer.
What are the solutions to the equation x2 − 1 = 399?
A.
x
=
20
and
x
=
-
20
B.
x
=
200
and
x
=
-
200
C.
x
=
400
and
x
=
-
400
D.
Answer: C
Step-by-step explanation:
400 multiply by 2 equals 800
and then 800 subtracted by 400 will be 400
and 400 subtracted by 1 will be 399.
Therefore, answer is C
When a trained dog learns to sit when you blow a whistle once and to lie down when you blow the whistle twice, the dog is showing: Question 24 options: Social Learning Stimulus Generalization Problem Solving Skills Stimulus discrimniation
Answer:
Probably Stimulus discrimination.
Step-by-step explanation:
help me with this please
Answer:
x = 1
Step-by-step explanation:
f(x) = 2
2 = 3 - sq. root x
-1 = - sq root x
(-1)*(-2) = x
x = 1
What is the decimal equivalent of 2 + 11 and how 4 + 3?
Answer:
13.00 ; 7.00
Step-by-step explanation:
The decimal equivalent of :
2 + 11 = 13 ; expressed as a float = 13.00
The decimal equivalent of :
4 + 3 = 7 ; expressed as a floating point number = 7.00
It is known that the length of a certain product x is normally distributed with μ = 18 inches. How is the probability p(x > 18) related to p(x < 18)?
The probability of x being greater than 18 (p(x > 18)) is equal to the probability of x being less than 18 (p(x < 18)) in a normal distribution.
In a normal distribution, the probability of an event happening to the left of the mean (μ) is equal to the probability of the event happening to the right of the mean. This means that if we know the probability of x being less than 18 (p(x < 18)), we can use the property of symmetry to determine the probability of x being greater than 18 (p(x > 18)).
Since the probability distribution of x is symmetric around the mean, the area under the probability density function (PDF) to the left of the mean is the same as the area to the right of the mean. Therefore, we can say:
p(x > 18) = p(x < 18)
In other words, the probability of x being greater than 18 is equal to the probability of x being less than 18 in a normal distribution.
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a window washer cleaned 42 windows and 4 hours at this rate how many windows will he wash in 10 hours
Answer:
105
Step-by-step explanation:
42/4 = 10.5 windows/hour
10.5 x 10 = 105 windows
HELLO PLEASE HELP, due in LESS THAN 50 MINS THANK YOU SO MUCH Hollie ran 1 km in 4 minutes and 22 seconds. What was her speed in metres per second (m/s)? If your answer is a decimal, give it to 1 d.p.
According to the information provided, Hollie was moving at a pace of roughly 4.1 m/s.
One second is how long?A period of time (s or sec) is what? The unit for duration measurement used by the Global System of Numbers (SI) is a second (s or sec). The radiation generated by the change between two phases of the cesium-133 atom undergoes 9,192,631,770 (or 9.192631770 x 10⁹ in integer notation) cycles in one second.
First, we need to convert the time into seconds:
4 minutes and 22 seconds = (4 x 60) + 22 = 242 seconds
Next, we can use the formula speed = distance / time to find Hollie's speed. Since she ran 1 km, or 1000 meters, her speed in meters per second (m/s) is:
speed = distance / time = 1000 meters / 242 seconds
Calculating this expression, we get:
speed = 4.1322 m/s (rounded to 1 decimal place)
Therefore, Hollie's speed was approximately 4.1 m/s.
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A fair coin is tossed 5 times. Calculate the probability that (a) five heads are obtained (b) four heads are obtained (c) one head is obtained A fair die is thrown eight times. Calculate the probability that (a) a 6 occurs six times (b) a 6 never happens (c) an odd number of 6s is thrown.
To calculate the probabilities, we need to use the concept of binomial probability.
For a fair coin being tossed 5 times:
(a) Probability of getting five heads:
The probability of getting a head in a single toss is 1/2.
Since each toss is independent, we multiply the probabilities together.
P(Head) = 1/2
P(Tails) = 1/2
P(Five Heads) = P(Head) * P(Head) * P(Head) * P(Head) * P(Head) = \((1/2)^5\) = 1/32 ≈ 0.03125
So, the probability of obtaining five heads is approximately 0.03125 or 3.125%.
(b) Probability of getting four heads:
There are five possible positions for the four heads.
P(Four Heads) = (5C4) * P(Head) * P(Head) * P(Head) * P(Head) * P(Tails) = 5 * \((1/2)^4\) * (1/2) = 5/32 ≈ 0.15625
So, the probability of obtaining four heads is approximately 0.15625 or 15.625%.
(c) Probability of getting one head:
There are five possible positions for the one head.
P(One Head) = (5C1) * P(Head) * P(Tails) * P(Tails) * P(Tails) * P(Tails) = 5 * (1/2) * \((1/2)^4\) = 5/32 ≈ 0.15625
So, the probability of obtaining one head is approximately 0.15625 or 15.625%.
For a fair die being thrown eight times:
(a) Probability of a 6 occurring six times:
The probability of rolling a 6 on a fair die is 1/6.
Since each roll is independent, we multiply the probabilities together.
P(6) = 1/6
P(Not 6) = 1 - P(6) = 5/6
P(Six 6s) = P(6) * P(6) * P(6) * P(6) * P(6) * P(6) * P(Not 6) * P(Not 6) = \((1/6)^6 * (5/6)^2\) ≈ 0.000021433
So, the probability of rolling a 6 six times is approximately 0.000021433 or 0.0021433%.
(b) Probability of a 6 never happening:
P(No 6) = P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) = \((5/6)^8\) ≈ 0.23256
So, the probability of not rolling a 6 at all is approximately 0.23256 or 23.256%.
(c) Probability of an odd number of 6s:
To have an odd number of 6s, we can either have 1, 3, 5, or 7 6s.
P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)
\(P(One 6) = (8C1) * P(6) * P(Not 6)^7 = 8 * (1/6) * (5/6)^7P(Three 6s) = (8C3) * P(6)^3 * P(Not 6)^5 = 56 * (1/6)^3 * (5/6)^5P(Five 6s) = (8C5) * P(6)^5 * P(Not 6)^3 = 56 * (1/6)^5 * (5/6)^3P(Seven 6s) = (8C7) * P(6)^7 * P(Not 6) = 8 * (1/6)^7 * (5/6)\)
P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)
Calculate each term and sum them up to find the final probability.
After performing the calculations, we find that P(Odd 6s) is approximately 0.28806 or 28.806%.
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sunset lake is stocked with 2500 rainbow trout and after 1 year the population has grown to 7050. assuming logistic growth with a carrying capacity of 25000, find the growth constant , and determine when the population will increase to 12900.
The growth constant is 0.69 and the population will increase to 12900 after approximately 3.7 years.
We have, Sunset Lake is stocked with 2500 rainbow trout and after 1 year the population has grown to 7050. Assuming logistic growth with a carrying capacity of 25000,
The logistic growth model is given by the equation
dN/dt=rN[(K-N)/K]
where, dN/dt = rate of change of population with respect to time,
N = population size at time t,
r = intrinsic rate of natural increase (growth constant),
K = carrying capacity.
The population size, "N" after 1 year = 7050
The initial population, "N₀" = 2500
The carrying capacity, K = 25000
We can use the following formula to find the value of the growth constant,
r = 2.303/t{ln(N_t/N₀) }........... (1)
Where, t = time taken for the population to increase from N_0 to N_t= 1 year (given)
Substituting the given values in equation (1), we get
r = 2.303/1 ln(7050/2500) ⇒ 0.688 ≈ 0.69
The value of the growth constant is 0.69.
Now, we can use the logistic growth equation to find the time required for the population to reach 12900.
dN/dt=rN[(K-N)/K]
Given, N₀ = 2500 and K = 25000
Differentiating both sides with respect to t,
dN/dt = rN[(K-N)/K] + Ndr/dt
Substituting the values of N, r, and K in the above equation, we get,
dN/dt= 0.69N[(25000-N)/25000] + N{dN/dt}
Let the population N become 12900 at time t = t₁
Therefore, at time t = 0, the population N₀ = 2500
Also, at time t = 1, the population N₁ = 7050
Substituting these values in the above equation, we get,
dN/dt= 0.69N[(25000-N)/25000] + N₁
dN/dt= 0.69(2500)[(25000-2500)/25000] + N₁
Solving for N₁, we get, N₁ = 7825
Substituting N₁ = 7825 in the above equation,
dN/dt= 0.69(7825)[(25000-7825)/25000] + N₁
dN/dt= 3263.25/1.69 ⇒ 1930.4
Now, to find t1, we can use the following formula;
ln[(K-N₁)/(K-N₀)] = rt₁
Substituting the given values, we get,
ln[(25000-12900)/(25000-2500)] = 0.69t₁
On solving for t₁, we get;
t₁ = ln[(1575/22500)]/0.69 ≈ 3.7 years
Hence, the population will increase to 12900 after approximately 3.7 years.
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John's grade increased from a 77 to an 85. What is the approximate percent increase of John's grade
Answer:
10.4 hope this help ;) 77 x 10.4
Step-by-step explanation
turn the 10.4 into .10 then multiply like this
77 x .10 =7.7
77+ 7.7 = 84.7
Answer: 10.4%
Step-by-step explanation:
A community group sells 2,000 tickets for its raffle. The grand prize is a car. Neil and 9 of his friends buy 10 tickets each. When the winning ticket number is announced, it is found to belong to Neil's group. Given this information, what is the probability that the ticket belongs to Neil?
Answer:
1/10 if its is in the group
Step-by-step explanation:
but if its as the whole thing it would be 1/200 because he has 10 and 10 of 2000 is 1/200
The probability that the winning ticket belongs to Neil is 5%.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
There are a total of 2,000 tickets, and Neil and his 9 friends bought 10 tickets each, so they bought a total of 100 tickets (10 tickets/person x 10 people = 100 tickets).
The probability of Neil's group winning the car is equal to the number of tickets they bought divided by the total number of tickets sold:
Probability = Number of tickets bought by Neil's group / Total number of tickets sold
Probability = 100 / 2000
Probability = 0.05 or 5%
Therefore, the probability that the winning ticket belongs to Neil is 5%.
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What are the solutions to the equation y^2-1 = 80?
Answer:
y^2-1=80
y^2=81
y = positive and negative 9
y2−1=80
Step 1: Add 1 to both sides.
y2−1+1=80+1
y2=81
Step 2: Take square root.
y=±√81
y=9 or y=−9
Answer:
y=9 or y=−9
Milton took an elevator to the top of the Empire State Building in New York City and decided to walk down the steps to the bottom level. The building is 103 levels tall, and it takes Milton exactly 5 seconds to make his way from one level to the next. The equation below shows the level (l) that Milton is on after s seconds. `l\ =\ -\frac{1}{5}s\ +\ 103`
Answer:
thx
Step-by-step explanation:
a copy of a document that was originallly 24 in by 36 in is now 8 in by 12 in. what scale was used for the reduction
Answer:
Each of the inches was reduced by 3 in.
Step-by-step explanation:
This is the answer because if you divide the 24 by 3 you will get 8 and the same thing occurs if you divide the 36 by 3 and you will get 12
If triangle ABC has sides of lengths 6, 10, and x + 3, between which two numbers must the value of x lie?
Answer:
Step-by-step explanation:jhbhbhjvjhvkhvmvghv
The vertex form of the equation of a parabola is y= (x-3)2 + 36. What is the standard form of the equation?
A. y=x2+x+18
B. y=x+6x+36
C. y = 3x² - 6x +45
D. y=x²2-6x +45
Answer:
\(y=x^2-6x+45\) (choice D)
Step-by-step explanation:
All you need to do is expand the vertex form.
\(y=(x-3)^2+36\\y=x^2-6x+9+36\\y=x^2-6x+45\)
If you need further explanation, let me know.
Hope this helps!
Which shows the front view of the figure shown?
The front view of the figure is figure A.
What is the difference between normal surfaces and hidden lines?Normal surfaces exist surfaces that stand at 90° to each other.
Hidden lines exist utilized to display surfaces that stand not directly visible. All surfaces must be displayed in all sights. If an edge or surface exists obstructed from sight by another feature, it stands drawn utilizing a hidden line.
The front view of the figure is figure A.
Therefore, the correct answer is option A.
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Who want to help me out
Answer:
A, B, and C
Step-by-step explanation:
Since there are no right angles, 89 is too close to 90 which is a right angles (which there are no angles even close to 90) and 94 would be too large since all angles are less than 90 degrees.
Solve the equation s = a + lw for the variable w
Answer:
w= \(\frac{-a+s}{l}\)Step-by-step explanation:
Let's solve for w.
s=a+lw
Step 1: Flip the equation.
lw+a=s
Step 2: Add -a to both sides.
lw+a+−a=s+−a
lw=−a+s
Step 3: Divide both sides by l
\(\frac{lw}{l} =\frac{-a+s}{l}\)